This article is cited in 2 papers

COMPUTER SCIENCE

Transition to robust chaotic mode as a result of single bifurcation in the new model of population dynamic

A. Yu. Perevarukha

St. Petersburg Institute for Informatics and Automation of RAS

Abstract: Article considers arising of chaotic attractor for notunimodal one-dimensional map, which is a model of pupulation dynamics. Chaotic mode, which is not transient behavior spring up without cascade of bifurcation. Change in behaviour of the map appears as a consequence of backward tangent bifurcation. In the biological view effect is interpreted by sudden inclusion of mortality rate for generation on appointed stage. The new model describes the wave-like dependency of the stock and recruitment existed for real fish population.

Keywords: nonlinear models of population dynamics, route to chaos.

UDC: 618.3.06

MSC: 37G35

Received: 01.12.2009

DOI: 10.20537/vm100211